Mohajan, Haradhan (2021): Product Maximization Techniques of a Factory of Bangladesh: A Sustainable Procedure. Published in: American Journal of Economics, Finance and Management , Vol. 5, No. 2 (31 May 2021): pp. 23-44.
Preview |
PDF
MPRA_paper_108094.pdf Download (935kB) | Preview |
Abstract
Every factory wants to obtain a maximum production that provides a maximum profit, and also wants to go ahead with a sustainable way in the competitive global economy. To achieve a sustainable economic environment, the factory must run in ensuing scientific methods. This study has considered three inputs, such as capital, labor and other inputs for the sustainable production of the factory. In this article, the economic predictions are given by the comparative statics with detail mathematical analysis. Bangladesh is a developing country in the South Asia. It is densely populated country but short of skilled workforce. Agriculture is the principal sector of its economy. Only depending on agriculture sector a country cannot reach its economic peak. Recently, Bangladesh moves to industrialization. To increase national wealth and fortune, the country must produce high quality of products and needs to export surplus products in global markets. So, the production sector of the country has to increase production depending on the local and global demands. For a long-term sustainable production it must run the factories efficiently and future production techniques should be in scientific based. In this study an attempt has been taken to maximize products of a factory of Bangladesh subject to a budget constraint, using Lagrange multiplier technique, as well as, applying necessary and sufficient conditions to achieve optimal result.
Item Type: | MPRA Paper |
---|---|
Original Title: | Product Maximization Techniques of a Factory of Bangladesh: A Sustainable Procedure |
English Title: | Product Maximization Techniques of a Factory of Bangladesh: A Sustainable Procedure |
Language: | English |
Keywords: | Bangladesh, Lagrange multiplier, product maximization, sustainability |
Subjects: | C - Mathematical and Quantitative Methods > C3 - Multiple or Simultaneous Equation Models ; Multiple Variables D - Microeconomics > D6 - Welfare Economics I - Health, Education, and Welfare > I3 - Welfare, Well-Being, and Poverty O - Economic Development, Innovation, Technological Change, and Growth > O4 - Economic Growth and Aggregate Productivity |
Item ID: | 108094 |
Depositing User: | Haradhan Kumar Mohajan |
Date Deposited: | 07 Jun 2021 10:24 |
Last Modified: | 07 Jun 2021 10:24 |
References: | 1. Altenburg, T., & Assmann, C (Eds.) (2017). Green Industrial Policy: Concept, Policies. Country Experiences, UN Environment; German Development Institute/Deutsches Institut für Entwicklungspolitk (DIE): Geneva, Bonn. 2. Arfken, G., Weber, H. J., & Harris, F. E. (2013). Mathematical Methods for Physicists: A Comprehensive Guide (7th Ed.). Academic Press, Elsevier, Waltham, MA, USA. 3. Baldani, J., Bradfield, J., & Turner, B. (2005). Mathematical Economics (2nd Ed.). Mason, OH: Thomson/South-Western. 4. Baxley, J. V., & Moorhouse, J. C. (1984). Lagrange Multiplier Problems in Economics. The American Mathematical Monthly, 91(7), 404-412. 5. Beavis, B., & Dobbs, I. M. (1990). Static Optimization: Optimization and Stability Theory for Economic Analysis. New York: Cambridge University Press. 6. Bertsekas, D. P. (1996). Constrained Optimization and Lagrange Multiplier Methods. Athena Scientific, Belmont, MA. 7. Boyd, S., & Vandenberghe, L. (2009). Convex Optimization. Cambridge University Press. 8. Callahan, J. J. (2010). Advanced Calculus: A Geometric View. Springer Science & Business Media. 9. Chiang, A. C., & Wainwright, K. (2005). Fundamental Methods of Mathematical Economics (4th Ed.). Boston: McGraw-Hill/Irwin. 10. Cobb, C. W., & Douglass, P. H. (1928). A Theory of Production. American Economics Review, 18(1), 139-165. 11. Country Profile (2021). Country Profile, People’s Republic of Bangladesh. 12. Fernandes, A. M. (2006). Firm Productivity in Bangladesh Manufacturing Industries. Policy Research Working Paper No. 3988. World Bank. 13. Hicks, J. R. (1939). Value and Capital. Oxford University Press, Oxford and New York. 14. Hoffmann, L. D., & Bradley, G. L. (2004). Calculus for Business, Economics, and the Social and Life Sciences (8th Ed.). Publisher: McGraw-Hill Science/Engineering/Math. 15. Islam, J. N., Mohajan, H. K., & Moolio, P. (2010a). Utility Maximization Subject to Multiple Constraints. Indus Journal of Management & Social Sciences, 4(1), 15-29. 16. Islam, J. N., Mohajan, H. K., & Moolio, P. (2010b). Output Maximization Subject to a Nonlinear Constraint. KASBIT Business Journal, 4(1), 116-128. 17. Kanbur, R. (1987). Shadow Pricing. In John Eatwell, Murray Milgate, & Peter K. Newman (Eds.), The New Palgrave: A Dictionary of Economics, Volume IV (2nd Ed.), London, New York, Tokyo: Macmillan Stockton Press Maruzen. 18. Krantz, S., & Parks, H. (2003). The Implicit Function Theorem. Modern Birkhauser Classics. Birkhauser. 19. Legesse, B. (2014). Research Methods in Agribusiness and Value Chains. School of Agricultural Economics and Agribusiness, Haramaya University. 20. Mankiw, N. G. (1997). Principles of Macroeconomics (5th Ed.). South-Western Cengage Learning, USA. 21. Mas-Colell, A., Whinston, M. D., & Green, J. R. (1995). Microeconomic Theory. New York, NY: Oxford University Press. 22. Meerschaert, M. W. (2013). Mathematical Modeling (4th Ed.). Academic Press, Elsevier. 23. Mohajan, H. K. (2013). Economic Development of Bangladesh. Journal of Business Management and Administration, 1(4), 41-48. 24. Mohajan, H. K. (2017a). Two Criteria for Good Measurements in Research: Validity and Reliability. Annals of Spiru Haret University Economic Series, 17(3), 58-82. 25. Mohajan, H. K. (2017b). Optimization Models in Mathematical Economics. Journal of Scientific Achievements, 2(5), 30-42. 26. Mohajan, H. K. (2018a). Qualitative Research Methodology in Social Sciences and Related Subjects. Journal of Economic Development, Environment and People, 7(1), 23-48. 27. Mohajan, H. K. (2018b). Aspects of Mathematical Economics, Social Choice and Game Theory. PhD Dissertation, Jamal Nazrul Islam Research Centre for Mathematical and Physical Sciences (JNIRCMPS), University of Chittagong, Chittagong, Bangladesh. 28. Mohajan, H. K. (2020). Quantitative Research: A Successful Investigation in Natural and Social Sciences. Journal of Economic Development, Environment and People, 9(4), 52-79. 29. Mohajan, H. K. (2021). Estimation of Cost Minimization of Garments Sector by Cobb-Douglass Production Function: Bangladesh Perspective. Annals of Spiru Haret University Economic Series, 21(2), xx-xx. 30. Mohajan, H. K., Islam, J. N., & Moolio, P. (2013). Optimization and Social Welfare in Economics. Lambert Academic Publishing, Germany. 31. Moolio, P., Islam, J. N., & Mohajan, H. K. (2009). Output Maximization of an Agency. Indus Journal of Management & Social Sciences, 3(1), 38-50. 32. Nicholson, W., & Snyder, C. (2008). Microeconomic Theory: Basic Principles and Extensions (10th Ed.). Thomson South-Western Publishers, USA. 33. Nocedal, J., & Wright, S. J. (1999). Numerical Optimization. Springer-Verlag, New York. 34. Pandey, P., & Pandey, M. M. (2015). Research Methodology: Tools and Techniques. Bridge Center, Romania, European Union. 35. Pearl, J. (2000). Causality: Models, Reasoning, and Inference. Cambridge: Cambridge University Press. 36. Protter, M. H., & Morrey, C. B. Jr. (1985). Transformations and Jacobians. Intermediate Calculus (2nd Ed.). New York: Springer. 37. Roy, L., Molla, R. M., & Mohajan, H. K. (2021). Cost Minimization is Essential for the Sustainable Development of an Industry: A Mathematical Economic Model Approach. Annals of Spiru Haret University Economic Series, 21(1), 37-69. doi: https://doi.org/10.26458/2112 38. Roy, S. (2019). Industrial Policy 2016 of Bangladesh: An Assessment from the Green Perspective. Bangladesh Journal of Public Administration, 25(2), 44-55. 39. Samuelson, P. A. (1947). Foundations of Economic Analysis. Cambridge: Harvard University Press. 40. US Department of State (2020). Investment Climate Statements: Bangladesh. USA. 41. Wenyu, S., & Ya-Xiang, Y. (2010). Optimization Theory and Methods: Nonlinear Programming. Springer-Verlag, New York Inc., United States. 42. Wooldridge, J. M. (2009). Introductory Econometrics: A Modern Approach (4th Ed.). Mason OH: South-Western, Cengage Learning, USA. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/108094 |